The red shift for an electromagnetic wave measured by two observers in a uniformly accelerated frame, which, according to the equivalence principle, should correspond to a gravitational red shift, is calculated as well as the bending of light rays.

The authors wish to thank Dr. G. Silva Ortigoza and the referee for valuable suggestions. One of the authors (C.I.P.S.) thanks the Vicerrectoría de Investigacion y Estudios de Posgrado of the Universidad Autonoma de Puebla for financial support through the programme "La ciencia en tus manos".